Refer to our Texas Go Math Grade 4 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 4 Lesson 4.3 Answer Key Compare and Order Fractions.

## Texas Go Math Grade 4 Lesson 4.3 Answer Key Compare and Order Fractions

**Essential Question**

How can you order fractions?

Answer:

- Step 1: Find the least common denominators. Given a set of fractions with unlike denominators, find the least common denominator (LCD) shared by the fractions. …
- Step 2: Determine the equivalent fractions sharing the LCD. …
- Step 3: Arrange the numerators. …
- Step 4: Rewrite the fractions.

**Unlock the Problem**

- Underline what you need to find.
- Circle the fractions you will compare.

Jody has equal-size bins for the recycling center. She tilled \(\frac{3}{5}\) of a bin with plastics, \(\frac{1}{12}\) of a bin with paper, and \(\frac{9}{10}\) of a bin with glass. Which bin is the most full?

Answer: \(\frac{9}{10}\)

Explanation:

Make common denominator for all

\(\frac{3}{5}\) = \(\frac{36}{60}\)

\(\frac{1}{12}\) = \(\frac{5}{60}\)

\(\frac{9}{10}\) = \(\frac{54}{60}\)

**Math Idea**

Sometimes it is not reasonable to find the exact location of a point on a number line. Benchmarks can help you find approximate locations.

**Example 1**

Locate and label \(\frac{3}{5}\), \(\frac{1}{12}\), and \(\frac{9}{10}\) on the number line.

STEP 1 Compare each fraction to \(\frac{1}{2}\).

___________ and __________ are both greater than 3.

___________ is less than \(\frac{1}{2}\).

Label \(\frac{1}{12}\) on the number line above.

Answer:

latex]\frac{3}{5}[/latex] and latex]\frac{9}{10}[/latex] are both greater than 3.

latex]\frac{1}{12}[/latex] is less than \(\frac{1}{2}\).

Label \(\frac{1}{12}\) on the number line above.

STEP 2 Compare \(\frac{3}{5}\) and \(\frac{9}{10}\).

Think: Use 10 as a denominator.

Since \(\frac{6}{10}\) ___________ \(\frac{9}{10}\), you know that \(\frac{3}{5}\) ___________ \(\frac{9}{10}\).

Label \(\frac{3}{5}\) and \(\frac{9}{10}\) on the number line above.

Answer:

Since \(\frac{6}{10}\) < \(\frac{9}{10}\), you know that \(\frac{3}{5}\) <\(\frac{9}{10}\).

Label \(\frac{3}{5}\) and \(\frac{9}{10}\) on the number line above.

The fraction the greatest distance from 0 has the greatest value.

The fraction with the greatest value is ____________ .

So, the bin with ____________ is the most full.

Answer:

**Math Talk**

Mathematical Processes

Explain how to write \(\frac{3}{5}\) and \(\frac{9}{10}\) as decimals in hundredths and compare their distances from 0.

Answer:

\(\frac{3}{5}\) = \(\frac{60}{100}\)

\(\frac{9}{10}\) = \(\frac{90}{100}\)

Explain how to write \(\frac{3}{5}\) and \(\frac{9}{10}\) as decimals in tenths and compare their distances from 0.

Answer:

**Example 2**

Write \(\frac{7}{10}\), \(\frac{1}{3}\), \(\frac{7}{12}\), and \(\frac{8}{10}\) in order from least to greatest.

Step 1 Compare each fraction to \(\frac{1}{2}\).

List fractions that are less than \(\frac{1}{2}\): ________________

List fractions that are greater than \(\frac{1}{2}\): ________________

The fraction with the least value is ________________.

Locate and label \(\frac{1}{3}\) on the number tine above.

Answer:

Step 2 Compare \(\frac{7}{10}\) to \(\frac{7}{12}\) and \(\frac{8}{10}\).

Think: \(\frac{7}{10}\) and \(\frac{7}{12}\) have equal numerators.

\(\frac{7}{10}\) ___________ \(\frac{7}{12}\)

Answer:

Think: \(\frac{7}{10}\) and \(\frac{8}{10}\) have equal denominators.

\(\frac{7}{10}\) ___________ \(\frac{8}{10}\)

Answer:

Locate and label \(\frac{7}{10}\), \(\frac{7}{12}\), and \(\frac{8}{10}\) on the number line above.

The fractions in order from least to greatest are ___________ .

So, _____ < _____ < _____ < ______ .

Answer:

**Math Talk**

Mathematical Processes

Explain how benchmarks can help you order

Answer:

**Share and Show**

Question 1.

Locate and label points on the number line to help you write \(\frac{3}{10}\), \(\frac{11}{12}\), and \(\frac{5}{8}\) in order from least to greatest.

Answer:

Explanation:

Make the common denominator for all

\(\frac{3}{10}\)= \(\frac{36}{120}\)

\(\frac{11}{12}\)= \(\frac{110}{120}\)

\(\frac{5}{8}\) = \(\frac{75}{120}\)

Write the fractions in order from least to greatest.

Question 2.

\(\frac{1}{4}, \frac{5}{8}, \frac{1}{2}\)

Answer: \(\frac{1}{4}, \frac{1}{2}, \frac{5}{8}\)

Explanation:

Make the common denominator for all

\(\frac{1}{4}\) = \(\frac{2}{8}\)

\(\frac{5}{8}\) = \(\frac{5}{8}\)

\(\frac{1}{2}\) = \(\frac{4}{8}\)

Question 3.

\(\frac{3}{5}, \frac{2}{3}, \frac{3}{10}, \frac{4}{5}\)

Answer: \(\frac{3}{10},\frac{3}{5}, \frac{2}{3}, \frac{4}{5}\)

Explanation:

Make the common denominator for all

\(\frac{3}{5}\) = \(\frac{18}{30}\)

\(\frac{2}{3}\) = \(\frac{20}{30}\)

\(\frac{3}{10}\) = \(\frac{9}30}\)

\(\frac{4}{5}\) = \(\frac{24}{30}\)

Question 4.

\(\frac{3}{4}, \frac{7}{12}, \frac{5}{12}\)

Answer: \( \frac{5}{12},\frac{7}{12}, \frac{3}{4}\)

Explanation:

Make the common denominator for all

\(\frac{3}{4}\) = \(\frac{9}{12}\)

\(\frac{7}{12}\) = \(\frac{7}{12}\)

\(\frac{5}{12}\) = \(\frac{5}{12}\)

**H.O.T.** Algebra Write a numerator that makes the statement true.

Question 5.

\(\frac{1}{2}\) < \(\frac{}{10}\) < \(\frac{4}{5}\)

Answer: \(\frac{1}{2}\) < \(\frac{6}{10}\) < \(\frac{4}{5}\)

Explanation:

Make the common denominator for all

\(\frac{1}{2}\) = \(\frac{5}{10}\)

\(\frac{5}{10}\) = \(\frac{}{10}\)

\(\frac{4}{5}\) = \(\frac{8}{10}\)

Question 6.

\(\frac{1}{4}\) < \(\frac{5}{12}\) < \(\frac{}{6}\)

Answer: \(\frac{1}{4}\) < \(\frac{5}{12}\) < \(\frac{1}{6}\)

Explanation:

Make the common denominator for all

\(\frac{1}{4}\) = \(\frac{3}{12}\)

\(\frac{5}{12}\) = \(\frac{5}{12}\)

\(\frac{}{6}\) = \(\frac{6}{12}\) = \(\frac{1}{6}\)

Question 7.

\(\frac{}{8}\) < \(\frac{3}{4}\) < \(\frac{7}{8}\)

Answer: \(\frac{5}{8}\) < \(\frac{3}{4}\) < \(\frac{7}{8}\)

Explanation:

Make the common denominator for all

\(\frac{}{8}\) = \(\frac{5}{8}\)

\(\frac{3}{4}\) = \(\frac{6}{8}\)

\(\frac{7}{8}\) = \(\frac{7}{8}\)

**Problem Solving**

Question 8.

H.O.T. Multi-Step Nancy, Lionel, and Mavis ran in a 5-kilometer race. The table shows their finish times. In what order did Nancy, Lionel, and Mavis finish the race?

Answer:

a. What do you need to find?

Answer:

b. What information do you need to solve the problem?

Answer:

c. What information is not necessary?

Answer:

d. How will you solve the problem?

Answer:

e. Show the steps to solve the problem.

Answer:

f. Complete the sentences.

The runner who finished first is _________ .

The runner who finished second is _________ .

The runner who finished third is __________ .

Answer:

Question 9.

Multi-Step Alma used 3 beads to make a necklace. The lengths of the beads are \(\frac{5}{6}\) inch, \(\frac{5}{12}\) inch, and \(\frac{1}{3}\) inch. What are the lengths in order from shortest to longest?

Answer: \(\frac{1}{3}\) , \(\frac{5}{12}\), \(\frac{5}{6}\)

Explanation:

Make the common denominator for all

\(\frac{5}{6}\) = \(\frac{10}{12}\)

\(\frac{5}{12}\) = \(\frac{5}{12}\)

\(\frac{1}{3}\) = \(\frac{4}{12}\)

Question 10.

H.O.T. Apply Portia lias done \(\frac{3}{7}\) of her English homework, \(\frac{6}{7}\) of her math homework, and \(\frac{6}{11}\) of her geography homework. Which subject is most complete? Which subject does she have the most left to do?

Answer: Math subject is most completed. English subject most left .

Explanation:

Make the common denominator for all

\(\frac{3}{7}\) = \(\frac{33}{77}\)

\(\frac{6}{7}\) = \(\frac{66}{77}\)

\(\frac{6}{11}\) = \(\frac{42}{77}\)

**Daily Assessment Task**

Fill in the bubble completely to show your answer.

Question 11.

Use Diagrams Students voted for their favorite hat on Crazy Hat Day. An alien baseball cap got \(\frac{1}{4}\) of the votes, a flower power hat got \(\frac{5}{8}\) of the votes, and an animal look-alike hat got \(\frac{1}{12}\) of the votes. Which shows the fractions written in order from least to greatest?

(A) \(\frac{1}{12}\) < \(\frac{5}{8}\) < \(\frac{1}{4}\)

(B) \(\frac{1}{12}\) < \(\frac{1}{4}\) < \(\frac{5}{8}\)

(C) \(\frac{5}{8}\) < \(\frac{1}{4}\) < \(\frac{1}{12}\)

(D) \(\frac{1}{4}\) < \(\frac{1}{12}\) < \(\frac{5}{8}\)

Answer: B

Explanation:

Make the common denominator for all

\(\frac{1}{4}\) = \(\frac{6}{24}\)

\(\frac{5}{8}\) = \(\frac{15}{24}\)

\(\frac{1}{12}\) = \(\frac{2}{24}\)

Question 12.

Multi-Step The fourth grade gym class ran a relay. The first runner ran \(\frac{4}{5}\) mile, the second runner ran \(\frac{3}{10}\) mile, the third runner ran \(\frac{1}{5}\) mile and the fourth runner ran \(\frac{7}{10}\) mile Compare \(\frac{4}{5}, \frac{3}{10}, \frac{1}{5}\), and \(\frac{7}{10}\). Which fraction represents the greatest distance?

(A) \(\frac{4}{5}\)

(B) \(\frac{3}{10}\)

(C) \(\frac{1}{5}\)

(D) \(\frac{7}{10}\)

Answer: \(\frac{4}{5}\)

Explanation:

Make the common denominator for all

\(\frac{4}{5}\) = \(\frac{8}{10}\)

\(\frac{3}{10}\) = \(\frac{3}{10}\)

\(\frac{1}{5}\) = \(\frac{2}10}\)

\(\frac{7}{10}\) = \(\frac{7}{10}\)

Question 13.

Multi-Step The three puppies at the animal shelter weighed \(\frac{2}{3}\) pound, \(\frac{5}{6}\) pound, and \(\frac{7}{12}\) pound. Compare \(\frac{2}{3}\), \(\frac{5}{6}\), and \(\frac{7}{12}\). Which shows the fractions written in order from least to greatest?

(A) \(\frac{2}{3}\) < \(\frac{7}{12}\) < \(\frac{5}{6}\)

(B) \(\frac{2}{3}\) < \(\frac{5}{6}\) < \(\frac{7}{12}\)

(C) \(\frac{7}{12}\) < \(\frac{5}{6}\) < \(\frac{2}{3}\)

(D) \(\frac{7}{12}\) < \(\frac{2}{3}\) < \(\frac{5}{6}\)

Answer: \(\frac{7}{12}\) < \(\frac{2}{3}\) < \(\frac{5}{6}\)

Make the common denominator for all

\(\frac{2}{3}\) = \(\frac{8}{12}\)

\(\frac{5}{6}\) = \(\frac{10}{12}\)

\(\frac{7}{12}\) = \(\frac{7}{12}\)

**TEXAS Test Prep**

Question 14.

A recipe for Trail Mix includes \(\frac{3}{10}\) cup of sunflower seeds, \(\frac{1}{2}\) cup of raisins, and \(\frac{3}{8}\) cup of granola. Which list shows the amounts from least to greatest?

(A) \(\frac{1}{2}\)cup, \(\frac{3}{8}\)cup, \(\frac{3}{10}\)cup

(B) \(\frac{3}{8}\)cup, \(\frac{3}{10}\)cup, \(\frac{1}{2}\)cup

(C) \(\frac{3}{10}\)cup, \(\frac{3}{8}\)cup, \(\frac{1}{2}\)cup

(D) \(\frac{3}{10}\)cup, \(\frac{1}{2}\)cup, \(\frac{3}{8}\)cup

Answer: \(\frac{2}{8},\frac{2}{6}, \frac{2}{4} \)

Explanation: (C) \(\frac{3}{10}\)cup, \(\frac{3}{8}\)cup, \(\frac{1}{2}\)cup

Make the common denominator for all

\(\frac{3}{10}\) = \(\frac{12}{40}\)

\(\frac{1}{2}\) = \(\frac{20}{40}\)

\(\frac{3}{8}\) = \(\frac{15}{40}\)

### Texas Go Math Grade 4 Lesson 4.3 Homework and Practice Answer Key

Write the fractions in order from least to greatest.

Question 1.

\(\frac{2}{8}, \frac{2}{4}, \frac{2}{6}\)

Answer: \(\frac{2}{8},\frac{2}{6}, \frac{2}{4} \)

Explanation:

Make the common denominator for all

\(\frac{2}{8}\) = \(\frac{6}{24}\)

\(\frac{2}{4}\) = \(\frac{12}{24}\)

\(\frac{2}{6}\) = \(\frac{8}{24}\)

Question 2.

\(\frac{2}{5}, \frac{1}{3}, \frac{5}{6}\)

Answer: \(\frac{1}{3},\frac{2}{5}, \frac{5}{6}\)

Explanation:

Make the common denominator for all

\(\frac{2}{5}\) = \(\frac{12}{30}\)

\(\frac{1}{3}\) = \(\frac{10}{30}\)

\(\frac{5}{6}\) = \(\frac{25}{30}\)

**Write a numerator that makes the statement true.**

Question 3.

\(\frac{7}{12}\) < \(\frac{}{3}\) < \(\frac{3}{4}\)

Answer: \(\frac{7}{12}\) < \(\frac{2}{3}\) < \(\frac{3}{4}\)

Explanation:

Make the common denominator for all

\(\frac{7}{12}\) = \(\frac{7}{12}\)

\(\frac{}{3}\) = \(\frac{8}{12}\) = latex]\frac{2}{3}[/latex]

\(\frac{3}{4}\) = \(\frac{9}{12}\)

Question 4.

\(\frac{}{10}\) < \(\frac{9}{15}\) < \(\frac{4}{5}\)

Answer: \(\frac{5}{10}\) < \(\frac{9}{15}\) < \(\frac{4}{5}\)

Explanation:

Make the common denominator for all

\(\frac{}{10}\) = \(\frac{15}{30}\) =\(\frac{5}{10}\)

\(\frac{9}{15}\) = \(\frac{18}{30}\)

\(\frac{4}{5}\) = \(\frac{24}{30}\)

**Problem Solving**

Question 5.

Walt, Dalia, and Kyra ran a race. The table shows their finish times. In what order did Walt, Dalia, and Kyra finish the race?

Answer: Paul, Dalia , Walt , Kyra

Explanation:

Walt – \(\frac{4}{5}\) = 0.8 hour = 48 min

Dalia –\(\frac{2}{3}\) = 0.66 hour =39.6 min

Kyra – \(\frac{5}{6}\) = 0.83 hour = 49.8 min

Paul- \(\frac{3}{10}\) = 0.3 hour = 18 min

Question 6.

Walt’s friend Paul also ran in the race. Who finished first, Walt or Paul?

Answer: Paul Finished first.

Explanation:

Walt – \(\frac{4}{5}\) = 0.8 hour = 48 min

Dalia –\(\frac{2}{3}\) = 0.66 hour =39.6 min

Kyra – \(\frac{5}{6}\) = 0.83 hour = 49.8 min

Paul- \(\frac{3}{10}\) = 0.3 hour = 18 min

**Lesson Check**

**Fill in the bubble completely to show your answer.**

Question 7.

A recipe for ice cream includes \(\frac{3}{4}\) cup milk, \(\frac{1}{3}\) cup cream, and \(\frac{1}{8}\) cup sugar. Which shows the amounts from least to greatest?

(A) \(\frac{1}{3}\)cup, \(\frac{3}{4}\)cup, \(\frac{1}{8}\)cup

(B) \(\frac{1}{8}\)cup, \(\frac{3}{4}\)cup, \(\frac{1}{8}\)cup

(C) \(\frac{1}{3}\)cup, \(\frac{3}{4}\)cup, \(\frac{1}{8}\)cup

(D) \(\frac{1}{8}\)cup, \(\frac{1}{3}\)cup,\(\frac{3}{4}\)cup

Answer: D

Explanation:

\(\frac{1}{3}\) = 0.33

\(\frac{3}{4}\) = 0.75

\(\frac{1}{8}\) = 0.12

Question 8.

Order the fractions from least to greatest.

\(\frac{4}{5}, \frac{1}{3}, \frac{7}{10}, \frac{3}{5}\)

(A) \(\frac{1}{3}\) < \(\frac{3}{5}\) < \(\frac{7}{10}\) < \(\frac{4}{5}\)

(B) \(\frac{3}{5}\) < \(\frac{1}{3}\) < \(\frac{4}{5}\) < \(\frac{7}{10}\)

(C) \(\frac{7}{10}\) < \(\frac{3}{5}\) < \(\frac{1}{3}\) < \(\frac{4}{5}\)

(D) \(\frac{4}{5}\) < \(\frac{7}{10}\) < \(\frac{1}{3}\) < \(\frac{3}{5}\)

Answer:

Explanation:

\(\frac{4}{5}\) =0.8

\(\frac{7}{10}\) =0.7

\(\frac{1}{3}\) = 0.33

\(\frac{3}{5}\) = 0.6

Based on above decimal value , below is the order from least to greatest

\(\frac{1}{3}\) < \(\frac{3}{5}\) < \(\frac{7}{10}\) < \(\frac{4}{5}\)

Question 9.

Order the fractions from least to greatest.

\(\frac{2}{3}, \frac{1}{4}, \frac{5}{12}, \frac{3}{4}\)

(A) \(\frac{1}{4}, \frac{2}{3}, \frac{5}{12}, \frac{3}{4}\)

(B) \(\frac{3}{4}, \frac{5}{12}, \frac{2}{3}, \frac{1}{4}\)

(C) \(\frac{1}{4}, \frac{5}{12}, \frac{2}{3}, \frac{3}{4}\)

(D) \(\frac{1}{4}, \frac{5}{12}, \frac{3}{4}, \frac{2}{3}\)

Answer: (D) \(\frac{1}{4}, \frac{5}{12}, \frac{3}{4}, \frac{2}{3}\)

Explanation:

\(\frac{2}{3}\) =0.66

\(\frac{1}{4}\) =0.25

\(\frac{5}{12}\) = 0.41

\(\frac{3}{4}\) = 0.75

below is the Order the fractions from least to greatest.

\(\frac{1}{4}, \frac{5}{12}, \frac{3}{4}, \frac{2}{3}\)

Question 10.

Three potatoes weigh \(\frac{1}{4}\) pound, \(\frac{5}{8}\) pound, and \(\frac{1}{2}\) pound. Which shows the weights from least to greatest?

(A) \(\frac{1}{4}\)pound, \(\frac{5}{8}\)pound, \(\frac{1}{2}\)pound

(B) \(\frac{1}{2}\)pound, \(\frac{1}{4}\)pound, \(\frac{5}{8}\)pound

(C) \(\frac{5}{8}\)pound, \(\frac{1}{2}\)pound, \(\frac{1}{4}\)pound

(D) \(\frac{1}{4}\)pound, \(\frac{1}{2}\)pound, \(\frac{5}{8}\)pound

Answer: (D) \(\frac{1}{4}\)pound, \(\frac{1}{2}\)pound, \(\frac{5}{8}\)pound

Explanation:

\(\frac{1}{4}\) = 0.25

\(\frac{5}{8}\) = 0.625

\(\frac{1}{2}\) = 0.5

Based on above decimal values of weights ,below is the order from least to greatest

\(\frac{1}{4}\)pound, \(\frac{1}{2}\)pound, \(\frac{5}{8}\)pound

Question 11.

Multi-Step Selma used stones to outline her garden. The lengths of the stones are \(\frac{1}{3}\)foot, \(\frac{7}{12}\) foot, and \(\frac{3}{4}\) foot. What are the lengths in order from shortest to longest?

(A) \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot, \(\frac{1}{3}\)foot

(B) \(\frac{1}{3}\)foot, \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot

(C) \(\frac{3}{4}\)foot, \(\frac{7}{12}\)foot, \(\frac{1}{3}\)foot

(D) \(\frac{7}{12}\)foot, \(\frac{1}{3}\)foot, \(\frac{3}{4}\)foot

Answer: (B) \(\frac{1}{3}\)foot, \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot

Explanation:

\(\frac{7}{12}\) =0.58

\(\frac{3}{4}\) = 0.75

\(\frac{1}{3}\) = 0.33

Based on above decimal values of lengths, below is the order from shortest to longest

\(\frac{1}{3}\)foot, \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot

Question 12.

Multi-Step Ms. Mohan bought cheese for a recipe. She bought \(\frac{5}{6}\) pound of cheddar cheese, \(\frac{1}{4}\) pound of Swiss cheese, and \(\frac{3}{8}\) pound of American cheese. What are the amounts in order from least to greatest?

(A) \(\frac{5}{6}\)pound, \(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound

(B) \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound, \(\frac{1}{4}\)pound

(C) \(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound

(D) \(\frac{3}{8}\)pound, \(\frac{1}{4}\)pound, \(\frac{5}{6}\)pound

Answer: (C) \(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound

Explanation:

\(\frac{5}{6}\)= 0.83

\(\frac{1}{4}\) = 0.25

\(\frac{3}{8}\) = 0.37

Based on above decimal values, below is the order from least to greatest

\(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound